Theoretical studies on a 2D quasi discrete Ferromagnetic spin system with NNN interactions

Abstract

We present a new Hamiltonian for a two dimensional Ferromagnetic system with nearest neighbour (NN) and next nearest neighbour (NNN) exchange interactions along with anisotropic interactions. The Dyson–Maleev transformation (DM) is used to bosonize the Hamiltonian. The method of multiple scales accompanying the quasi discreteness approach is attuned to arrive at the cubic nonlinear Schrödinger equation (CNLSE). The effect of NNN interactions on localized excitations in the system is theoretically investigated and analysed using Sine–Cosine, Inverse scattering methods. The respective wave patterns are presented and studied.